Rafeiro, H.Samko, Stefan G.2021-09-082021-09-082021-051747-6933http://hdl.handle.net/10400.1/16968For a class of sublinear operators, we find conditions on the variable exponent Morrey-type space L-p(.),L-q,L-omega(.,L-.)(R-n) ensuring the boundedness in this space. A priori assumptions on this class are that the operators are bounded in L-p(.)(R-n) and satisfy some size condition. This class includes in particular the maximal operator, singular operators with the standard kernel, and the Hardy operators. Wealso prove embedding of variable exponent Morrey-type spaces into weighted L-p(.)-spaces.engSublinear operatorsMorrey-type spacesVariable exponentMathematicsjournal article10.1080/17476933.2021.1924156